(a)

The equation of the function and the point .

Slope of the tangent is derivative of the curve at a particular point.

Consider curve .

Differentiate on each side with respect to .

Substitute in the above equation.

Slope of the tangent line at is .

Equation of a tangent line with slope and the point :

Point -slope form of line equation: .

Substitute and in the point-slope form.

Equation of a tangent line is  .

(b)

Graph the function and the tangent line.

(a) Equation of a tangent line .

(b) Graph of the function and the tangent line is

.